Connecting Hamilton-Jacobi partial differential equations with maximum a posteriori and posterior mean estimators for some non-convex priors.
Jérôme DarbonGabriel Provencher LangloisTingwei MengPublished in: CoRR (2021)
Keyphrases
- maximum a posteriori
- partial differential equations
- hamilton jacobi
- bayesian framework
- posterior distribution
- finite difference
- map estimation
- markov random field
- level set
- hyperparameters
- anisotropic diffusion
- image reconstruction
- maximum likelihood
- image denoising
- image processing
- energy function
- numerical solution
- em algorithm
- image enhancement
- expectation maximization
- multiscale
- eikonal equation
- diffusion equation
- high order
- energy functional
- parameter estimation
- differential equations
- level set method
- curve evolution
- mathematical morphology
- shape prior
- image segmentation
- probabilistic model
- noise removal
- numerical methods
- numerical analysis
- higher order